Foundation June 2022 Paper 3 Q9
9 Some students were asked about their daily exercise.
(a) 12 more students answered Yes than answered No.
Complete the frequency tree. [3 marks]
(b) One of the 35 students who answered Yes is chosen at random.
What is the probability that they exercise for at least 1 hour? [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| 8 in Time exercising Less than 1 hour | B1 | |
| 23 in Exercise taken No | B1 | |
| 58 in Total number of students | B1ft | ft 35 + their 23 or 27 + their 8 + their 23 |
Additional guidance
| 8 in Time exercising Less than 1 hour 47 in Exercise taken No 82 in Total number of students | B1 B0 B1ft |
| 7 in Time exercising Less than 1 hour 25 in Exercise taken No 59 in Total number of students | B0 B0 B1ft |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{27}{35}\) or 0.77(…) or 77(. …)% | B1 | oe fraction |
Additional guidance
| Ignore attempts to simplify or convert after correct fraction seen | |
| eg1 \(\dfrac{27}{35}\) seen, answer \(\dfrac{5}{7}\) | B1 |
| eg2 \(\dfrac{27}{35}\) seen, answer 7.7% | B1 |
| Ignore words if correct answer seen | |
| eg1 \(\dfrac{27}{35}\) seen, answer 27 out of 35 | B1 |
| eg2 77%, unlikely | B1 |
| Answer given as ratio (even if correct answer also seen) eg 27 : 35 | B0 |
| Answer only in words eg 27 out of 35 | B0 |
| Only 77 (without %) | B0 |